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Finding the Fourth Proportional to 4,913.28, 6,780.42 and 2,924.10

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Solution

The fourth proportional to 4,913.28, 6,780.42 and 2,924.10 is: 4,035.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.28 : 6,780.42 = 2,924.10 : x
  2. Step 2: Convert to fraction form
    4,913.28/6,780.42 = 2,924.10/x
  3. Step 3: Cross multiply
    4,913.28x = 6,780.42 × 2,924.10
  4. Step 4: Simplify right side
    4,913.28x = 19,826,626.12
  5. Step 5: Solve for x
    x = 19,826,626.12/4,913.28
  6. Step 6: Final answer
    x = 4,035.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.